RT Journal Article
T1 A stroboscopic averaging algorithm for highly oscillatory delay problems
A1 Sanz Serna, Jesús María
A1 Zhu, Beibei
AB We propose and analyse a heterogeneous multiscale method for the efficient integration of constant-delay differential equations subject to fast periodic forcing. The stroboscopic averaging method suggested here may provide approximations with O(H2+1/Ω2) errors with a computational effort that grows like H−1 (the inverse of the step size), uniformly in the forcing frequency Ω⁠.
PB Oxford University Press
SN 0272-4979
YR 2019
FD 2019-07
LK https://hdl.handle.net/10016/32524
UL https://hdl.handle.net/10016/32524
LA eng
NO J.M. Sanz-Serna has been supported by projects MTM2013-46553-C3-1-P from Ministerio de Economía y Comercio, and MTM2016-77660-P(AEI/FEDER, UE) from Ministerio de Economía, Industria y Competitividad, Spain. Beibei Zhu has been supported by the National Natural Science Foundation of China (Grant No. 11371357 and No. 11771438). She is grateful to Universidad Carlos III de Madrid for hosting the stay in Spain that made this work possible and to the Chinese Scholarship Council for providing the necessary funds. The authors are thankful to M. A. F. Sanjuán and A. Daza for bringing to their attention the vibrational resonance phenomenon, the toggle switch problem and other highly-oscillatory systems with delay.
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RD 27 jul. 2024